Least Common Multiple of 5939 and 5943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5939 and 5943 the smallest integer that is 35295477 that is divisible by both numbers.

Least Common Multiple (LCM) of 5939 and 5943 is 35295477.

LCM(5939,5943) = 35295477

LCM of 5939 and 5943

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5939 and 5943

LCM of 5939 and 5943 is 35295477

Least common multiple can be found by multiplying the highest exponent prime factors of 5939 and 5943. First we will calculate the prime factors of 5939 and 5943.

Prime Factorization of 5939


5939 5939
1

Prime factors of 5939 are 5939. Prime factorization of 5939 in exponential form is:

5939 = 59391

Prime Factorization of 5943


3 5943
7 1981
283 283
1

Prime factors of 5943 are 3, 7,283. Prime factorization of 5943 in exponential form is:

5943 = 31×71×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 5939 and 5943.

LCM(5939,5943) = 31×71×2831×59391
LCM(5939,5943) = 35295477

Factors of 5939

List of positive integer factors of 5939 that divides 5939 without a remainder.

1, 5939

Factors of 5943

List of positive integer factors of 5943 that divides 5943 without a remainder.

1, 3, 7, 21, 283, 849, 1981, 5943

Least Common Multiple of 5939 and 5943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5939 and 5943, than apply into the LCM equation.

GCF(5939,5943) = 1
LCM(5939,5943) = ( 5939 × 5943) / 1
LCM(5939,5943) = 35295477 / 1
LCM(5939,5943) = 35295477

Properties of LCM 5939 and 5943

(i) The LCM of 5943 and 5939 is associative

LCM of 5939 and 5943 = LCM of 5943 and 5939

Related Least Common Multiples of 5939

Related Least Common Multiples of 5943

Frequently Asked Questions on LCM of 5939 and 5943

1. What is the LCM of 5939 and 5943?

Answer: LCM of 5939 and 5943 is 35295477.

2. What are the Factors of 5939?

Answer: Factors of 5939 are 1, 5939. There are 2 integers that are factors of 5939. The greatest factor of 5939 is 5939.

3. What are the Factors of 5943?

Answer: Factors of 5943 are 1, 3, 7, 21, 283, 849, 1981, 5943. There are 8 integers that are factors of 5943. The greatest factor of 5943 is 5943.

4. How to Find the LCM of 5939 and 5943?

Answer:

Least Common Multiple of 5939 and 5943 = 35295477

Step 1: Find the prime factorization of 5939

5939 = 5939

Step 2: Find the prime factorization of 5943

5943 = 3 x 7 x 283

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 35295477 = 3 x 7 x 283 x 5939

Step 4: Therefore, the least common multiple of 5939 and 5943 is 35295477.